12 citations · 12 across the 2 of their papers we have counts for
5 papers
Diffusion-controlled death of -particle and -particle islands at propagation of the sharp annihilation front
Boris M. Shipilevsky
We consider the problem of diffusion-controlled evolution of the system -particle island - -particle island at propagation of the sharp annihilation front . We show…
Diffusion-controlled annihilation : The growth of an particle island from a localized -source in the particle sea
Boris M. Shipilevsky
We present the growth dynamics of an island of particles injected from a localized -source into the sea of particles and dying in the course of diffusion-controlled anni…
Diffusion-controlled annihilation with initially separated reactants: The death of an particle island in the particle sea
Boris M. Shipilevsky
We consider the diffusion-controlled annihilation dynamics with equal species diffusivities in the system where an island of particles is surrounded by the uniform s…
Annihilation catastrophe: New critical phenomenon in diffusion-controlled dynamics
Boris M. Shipilevsky
The aim of this report is to give an insight into the key features of the phenomenon called Annihilation Catastrophe which may pretend to be one of the most dramatic manifestations…
Dynamics of the reaction-diffusion system with input of particles
Boris M. Shipilevsky
We study dynamics of filling of an initially empty finite medium by diffusing particles and , which arise on the surface upon dissociation of molecules, impinging on it…